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Summary
DescriptionSurfaces of constant positive Gaussian curvature.png
English: Two surfaces which both have constant positive Gaussian curvature.
The left-hand surface has a boundary, and the right-hand one has two singular points.
Both are surfaces of revolution given by
with , and . The left hand surface has , and the right hand one . is a sphere.
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This surface has constant positive Gaussian curvature, and may be formed by "rolling up" a cap of a spherical surface, in an isometric transformation but either have a boundary or singular points.